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Question
What is the quotient and remainder when $ 3675 $ is divided by $ 6 $ ?
Answer
The quotient is 612 and the remainder is 3.
Explanation
|
Division Table
|
| | 0 | 6 | 1 | 2 |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 7 | | |
| | – | 6 | | |
| | | 1 | 5 | |
| | – | 1 | 2 | |
| | | | 3 | |
STEP 0: set up a division table
|
| | | | | |
| 6 | 3 | 6 | 7 | 5 |
STEP 1: DIVIDE 3 : 6 = 0 with a remainder of 3
|
| | 0 | | | |
| 6 | 3 | 6 | 7 | 5 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | | |
| 6 | 3 | 6 | 7 | 5 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
STEP 5: DIVIDE 36 : 6 = 6 with a remainder of 0
|
| | 0 | 6 | | |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
STEP 6: MULTIPLY 6 · 6 = 36
|
| | 0 | 6 | | |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| | 3 | 6 | | |
STEP 7: SUBTRACT 36 - 36 = 0
|
| | 0 | 6 | | |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 0 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 6 | | |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 7 | | |
STEP 9: DIVIDE 7 : 6 = 1 with a remainder of 1
|
| | 0 | 6 | 1 | |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 7 | | |
STEP 10: MULTIPLY 1 · 6 = 6
|
| | 0 | 6 | 1 | |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 7 | | |
| | | 6 | | |
STEP 11: SUBTRACT 7 - 6 = 1
|
| | 0 | 6 | 1 | |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 7 | | |
| | – | 6 | | |
| | | 1 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 6 | 1 | |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 7 | | |
| | – | 6 | | |
| | | 1 | 5 | |
STEP 13: DIVIDE 15 : 6 = 2 with a remainder of 3
|
| | 0 | 6 | 1 | 2 |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 7 | | |
| | – | 6 | | |
| | | 1 | 5 | |
STEP 14: MULTIPLY 2 · 6 = 12
|
| | 0 | 6 | 1 | 2 |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 7 | | |
| | – | 6 | | |
| | | 1 | 5 | |
| | | 1 | 2 | |
STEP 15: SUBTRACT 15 - 12 = 3
|
| | 0 | 6 | 1 | 2 |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 7 | | |
| | – | 6 | | |
| | | 1 | 5 | |
| | – | 1 | 2 | |
| | | | 3 | |
STEP 15: SUBTRACT 15 - 12 = 3
|
| | 0 | 6 | 1 | 2 |
| 6 | 3 | 6 | 7 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 3 | 6 | | |
| | | 7 | | |
| | – | 6 | | |
| | | 1 | 5 | |
| | – | 1 | 2 | |
| | | | 3 | |
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